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Finding the Fourth Proportional to 6,322.31, 8,724.63 and 3,489.67

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Solution

The fourth proportional to 6,322.31, 8,724.63 and 3,489.67 is: 4,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.31 : 8,724.63 = 3,489.67 : x
  2. Step 2: Convert to fraction form
    6,322.31/8,724.63 = 3,489.67/x
  3. Step 3: Cross multiply
    6,322.31x = 8,724.63 × 3,489.67
  4. Step 4: Simplify right side
    6,322.31x = 30,446,137.00
  5. Step 5: Solve for x
    x = 30,446,137.00/6,322.31
  6. Step 6: Final answer
    x = 4,815.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.